Weather balloons are high altitude balloons that are capable of reaching an alti

Question

Weather balloons are high altitude balloons that are capable of reaching an altitude of 40 km (or 25 miles). They are usually filled with hydrogen or helium gas. One such balloon is filled with gas that is initially at a temperature of 310 K and at atmospheric pressure. This particular balloon can expand to a maximum diameter of 42 m when it reaches an altitude where the pressure and temperature are 0.028 atm and 190 K respectively. Determine the diameter of the balloon at lift off.

_______ m???

Explanation / Answer

applying P V = n R T

so P V / T = constant

P1 V1 / T1 = P2 V2 / T2

(101325)( d^2) / 310 = (0.028 x 101325) (42^2) / 190

d = 9 m ......Ans

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